/sci/ - Science & Math

>>16199473
deriving the basis of set theory, rooting the polynumber system with MMP. Creating a skeleton key for those imprisioned in the real number delusion to escape

>>16066476
MMP reroots set theory by revealing the empty set is as incomprehensible as the infinite set, by determining that nothingness is perfectly precise without any magnitude, and, conversely, the infinite has no precision, despite endless magnitude.

Indeed, the infinite and nothingness are two sides of the same coin. by balancing their paradoxes with the oroboros operator, the primordial set is formed.

fields, groups and numbers are than fractal loops of the infinite nothingness, as calculated by box math in pic related

>>15991044
this is a more rudimentary basis for the polynumber system. Appealing to the empty set is just as incorrect as appealing to the triple dot

>>15881512
[math]0 \circlearrowright \infty = \{\} [/math]
[math]\{\{\}\} = 1 =0 \circlearrowright \infty \circlearrowright \infty \circlearrowright 0 [/math]

MMP represents the primordial container as "0 ouroboros operator infinity" or the continuum.

the ouroboros operator is understood by two principles of number, digit length, and precision.

in 0: one realizes that its precision is perfect no matter how many digits one adds 0.000...
in [math]\infty[/math]: one realizes it has no precision, no matter how many digits one adds 999999...

Ouroboros than balances these two forces in metaphysical equilibrium. the precision is balanced in tandem with its length, birthing the number line, the continuum, the vacuum- the potential for counting.

when the continuum is oroborosed into the continuum the unity emerges, a discrete point in the space

https://youtu.be/CScJqApRPZg?feature=shared

I have derived a more accurate basis for the the polynumber system based on the principles of precision and complexity (or length of a number)

The nothingess possess perfect precison without any complexity

The infinite has no precison no matter how complexity is given

Where can the infinite be housed if not the nothingness

For why whereever light goes, the darkness is there to greet it

Zero and infinity are than the etymological inverse, it is the infinite nothingness that forms the primordial set

The unity now carries a deeper meaning, a nesting of infinite nothingness- a holofractal unity

>>15788649
Mmp reveals the correct basis of the polynumber system

>>15751999
Indeed, wildberger is quick to deride the infinite, yet prostrates himself to the nothingness

Numbers are loops of the infinite nothingness

A common critique that Norman Wildberger possesses towards the real number system based on set theory is its ad homimen abundant appeals to infinite interation. Well, I'm here to say he is correct on this matter, but he than goes on to hide behind a different beast- the nothingness. Apologies Mr Wildberger, but forsaking the concept of the empty set to identify as 0 is committing the same, albeit lesser evil as your predecessors. For infinity has no precision at endless magnitude, and zero has endless precision at no magnitude- behold! Revealed are the 0 and infinite to be two sides of the same coin, the primordial paradox is revealed.

The polynumber system, and thus set theory is rectified by construing the empty set as the aetheric set, one based not on zero but the congealing of the primordial paradoxes. It is the symbol of the substrate, of the continuum, of the place in which the number will ultimately sit. After all, can a number really be separated from the field in which it sits? in MMP I introduce the ouroboros operation, which is applied on the nothingness and the endless, to birth the aetheric set, which is than the basis of the polynumber system.